Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 68, 919, 146, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 919, 146, 780 is 1
GCD(68, 919, 146, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 919, 146, 780 is 1
GCD(68, 919, 146, 780) = 1
Given Input numbers are 68, 919, 146, 780
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Greatest Common Divisior
We found the divisors of 68, 919, 146, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 919, 146, 780 is 1.
Therefore, GCD of numbers 68, 919, 146, 780 is 1
Given Input Data is 68, 919, 146, 780
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 919 is 919
Prime Factorization of 146 is 2 x 73
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(68, 919) = 62492
GCD(68, 919) = ( 68 x 919 ) / 62492
GCD(68, 919) = 62492 / 62492
GCD(68, 919) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
GCD of 68, 919, 146, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 919, 146, 780?
GCD of 68, 919, 146, 780 is 1
2. Where do I get the detailed procedure to find GCD of 68, 919, 146, 780?
You can find a detailed procedure to find GCD of 68, 919, 146, 780 on our page.
3. How to find GCD of 68, 919, 146, 780 on a calculator?
You can find the GCD of 68, 919, 146, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.